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This paper introduces Compressed Sensing (CS) into Method of Moments (MoM) to solving 3D electromagnetic scattering problems over a wide angle. In traditional MoM, the calculation of the problem over a wide angle is implemented with iterative operations at a finer angle step, which must results to low efficiency. After applying CS technique to MoM results over any angles can be calculated with only several measurements. This method can be implemented by the following steps: obtaining measurements of induced currents by MOM with a sparse transform, and finally reconstructing the real induced currents by a recovery algorithm. Numerical examples showed that the results computed by CS could keep high accurate with low CPU time consumed.